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230023424 = 28193131
BaseRepresentation
bin11011011010111…
…10000100000000
3121000211101211002
431231132010000
5432341222144
634454111132
75462111141
oct1555360400
9530741732
10230023424
1110892a004
126504b4a8
1338869b47
1422799ac8
15152da14e
hexdb5e100

230023424 has 72 divisors (see below), whose sum is σ = 488352480. Its totient is φ = 108126720.

The previous prime is 230023403. The next prime is 230023427. The reversal of 230023424 is 424320032.

It is a junction number, because it is equal to n+sod(n) for n = 230023396 and 230023405.

It is not an unprimeable number, because it can be changed into a prime (230023427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1755839 + ... + 1755969.

Almost surely, 2230023424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244176240).

230023424 is an abundant number, since it is smaller than the sum of its proper divisors (258329056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230023424 is an frugal number, since it uses more digits than its factorization.

230023424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 230023424 is about 15166.5231348520. The cubic root of 230023424 is about 612.7133663975.

Adding to 230023424 its reverse (424320032), we get a palindrome (654343456).

The spelling of 230023424 in words is "two hundred thirty million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 131 152 256 262 304 361 524 608 722 1048 1216 1444 2096 2432 2489 2888 4192 4864 4978 5776 6859 8384 9956 11552 13718 16768 19912 23104 27436 33536 39824 46208 47291 54872 79648 92416 94582 109744 159296 189164 219488 318592 378328 438976 637184 756656 877952 898529 1513312 1755904 1797058 3026624 3594116 6053248 7188232 12106496 14376464 28752928 57505856 115011712 230023424